Question

8y-5/7y+1=5/4 solve and verify the answer​

Answer 1

Answer:

$\frac{8y-5}{7y+1}=\frac{5}{4}\quad :\quad y=-\frac{25}{3}\quad \left(\mathrm{Decimal}:\quad y=-8.33333\dots \right)$

Step-by-step explanation:

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$\left(8y-5\right)\cdot \:4=\left(7y+1\right)\cdot \:5\left(8y-5\right)\cdot \:4=\left(7y+1\right)\cdot \:5$

$32y-20=35y+5$

$\mathrm{Add\:}20\mathrm{\:to\:both\:sides}$

$32y-20+20=35y+5+20$

$32y=35y+25$

$\mathrm{Subtract\:}35y\mathrm{\:from\:both\:sides}$

$32y-35y=35y+25-35y$

$-3y=25$

$\mathrm{Divide\:both\:sides\:by\:}-3$

$\frac{-3y}{-3}=\frac{25}{-3}$

$y=-\frac{25}{3}$

Answer 2

Answer:

Attached it.

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